Question

An inductor and two capacitors are connected in the circuit as shown in figure. Initially capacitor \(A\) has no charge while charge on capacitor \(B\) has charges \(Q_0 = 50 mC\). Assume circuit has no resistance at all \(\left( \text{Given}~LC = \dfrac{1}{100 \pi ^2 }\sec^2\right)\) When switch S is closed, then choose the correct option(s)

• A. $q_B=25(1+\cos 10\pi t)mC,q_B$ is charge on capacitor $B$ at time $t$
• B. Maximum charge on capacitor $A$ will be $50mC$
• C. Charge on each capacitor will be $25mC$ when energy stored inside the inductors is maximum
• D. Sum of energy stored inside the capacitor and inductor always remains constant

Answer 1

Answer: (B), (C), (D)

Sum of energy stored inside the capacitor and inductor always remains constant

Potential across inductor is zero when charges on capacitor is same.